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<a href="_reference_vector_guided_selection_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">//===========================================================================</span><span class="comment"></span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> *</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \brief       Implements the reference vector selection for RVEA</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> *</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> * \author      Bjoern Bugge Grathwohl</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> * \date        March 2017</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> *</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> *</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> *</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> *</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> *</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> *</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment"> */</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="comment">//===========================================================================</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#ifndef SHARK_ALGORITHMS_DIRECT_SEARCH_OPERATORS_SELECTION_REFERENCE_VECTOR_GUIDED_SELECTION_H</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#define SHARK_ALGORITHMS_DIRECT_SEARCH_OPERATORS_SELECTION_REFERENCE_VECTOR_GUIDED_SELECTION_H</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#include &lt;<a class="code" href="_base_8h.html">shark/LinAlg/Base.h</a>&gt;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#include &lt;<a class="code" href="_individual_8h.html">shark/Algorithms/DirectSearch/Individual.h</a>&gt;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="comment"></span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="comment">/**</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="comment"> * \brief Implements the reference vector selection for the RVEA algorithm.</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="comment"> *</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="comment"> * This selector uses a set of unit reference vectors to partition the search</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="comment"> * space by assigning to each reference vector the individual that is &quot;closest&quot;</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="comment"> * to it, as measured by the angle-penalized distance.</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment"> * See below paper for details:</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment"> * R. Cheng, Y. Jin, M. Olhofer, and B. Sendhoff, “A reference vector guided</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment"> * evolutionary algorithm for many-objective optimization,” IEEE Transactions on</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment"> * Evolutionary Computation, Vol 20, Issue 5, October 2016</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment"> * http://dx.doi.org/10.1109/TEVC.2016.2519378</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="comment"> */</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> Indiv<span class="keywordtype">id</span>ualType&gt;</div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="};">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html">   53</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structshark_1_1_reference_vector_guided_selection.html" title="Implements the reference vector selection for the RVEA algorithm.">ReferenceVectorGuidedSelection</a></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>{</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#aa924daa48c07ebab02ad0f09f1775f49">   55</a></span>    <span class="keyword">typedef</span> std::set&lt;std::size_t&gt; <a class="code hl_typedef" href="structshark_1_1_reference_vector_guided_selection.html#aa924daa48c07ebab02ad0f09f1775f49">bag_t</a>;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="comment"></span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="comment">    /**</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">     * \brief Select individuals by marking them as &quot;selected&quot;.</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="comment">     *</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="comment">     * The selection operator requires the set of reference vectors, the set of</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="comment">     * least angles between reference vectors (the gammas), as well as the</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="comment">     * current iteration number.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="comment">     */</span></div>
<div class="foldopen" id="foldopen00064" data-start="{" data-end="}">
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#a7bf23c25be28a0dc6a93b1ccb419233f">   64</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#a7bf23c25be28a0dc6a93b1ccb419233f" title="Select individuals by marking them as &quot;selected&quot;.">operator()</a>(</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>        std::vector&lt;IndividualType&gt; &amp; population,</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        RealMatrix <span class="keyword">const</span> &amp; referenceVectors,</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>        RealVector <span class="keyword">const</span> &amp; gammas,</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>        std::size_t <span class="keyword">const</span> curIteration)</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>    {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>        <span class="keywordflow">if</span>(population.empty())</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>        {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>            <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>        }</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>        RealMatrix fitness = <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aaca1139b4474117041edd70ecf33afa2">extractPopulationFitness</a>(population);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(fitness.size2() == referenceVectors.size2());</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>        <span class="keyword">const</span> std::size_t groupCount = referenceVectors.size1();</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>        <span class="comment">// Objective value translation</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>        <span class="comment">// line 4</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>        <span class="keyword">const</span> RealVector minFitness = <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#ab44cdfa5f098b005d1033b97dcfa1b17">minCol</a>(fitness);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>        <span class="comment">// line 5-7</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>        fitness -= repeat(minFitness, fitness.size1());</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>        <span class="comment">// Population partition</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>        <span class="comment">// line 9-13</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        <span class="keyword">const</span> RealMatrix cosA = <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>(fitness, referenceVectors);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>        <span class="keyword">const</span> RealMatrix angles = acos(cosA);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>        <span class="comment">// line 14-17</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>        <span class="keyword">const</span> std::vector&lt;bag_t&gt; subGroups = <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#a5baaad83af9cfd6838db277c4ad41a84" title="Associates a population to a set of reference vectors.">populationPartition</a>(cosA);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(subGroups.size() == groupCount);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>        <span class="comment">// Elitism selection</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>        <span class="keywordflow">for</span>(<span class="keyword">auto</span> &amp; p : population)</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>        {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>            p.selected() = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>        }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>        <span class="keyword">const</span> <span class="keywordtype">double</span> theta = fitness.size2()</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>            * std::pow(<span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(curIteration) /</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>                       <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(<a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#a3be26c2c82b5592c9c666bdedbf771c2">m_maxIters</a>), <a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#aa70d7ca4f48a31dbe4e838e9ebb5c581">m_alpha</a>);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>        <span class="comment">// line 25-28</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>        <span class="keywordflow">for</span>(std::size_t j = 0; j &lt; groupCount; ++j)</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>        {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>            <span class="keywordflow">if</span>(subGroups[j].size() == 0)</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>            {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>                <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>            }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>            std::size_t selected_idx = 0;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>            <span class="keywordtype">double</span> min = 1e5;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>            <span class="keywordflow">for</span>(std::size_t i : subGroups[j])</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>            {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>                <span class="comment">// Angle-penalized distance (APD) calculation</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>                <span class="keywordtype">double</span> apd = 1 + theta * angles(i, j) / gammas[j];</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>                apd *= norm_2(row(fitness, i));</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>                <span class="keywordflow">if</span>(apd &lt; min)</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>                {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>                    selected_idx = i;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>                    min = apd;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>                }</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>            }</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>            population[selected_idx].selected() = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        }</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>    }</div>
</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span><span class="comment"></span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="comment">    /**</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="comment">     * \brief Associates a population to a set of reference vectors.</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="comment">     *</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span><span class="comment">     * The parameter is an N-by-M matrix where N is the population size and M is</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span><span class="comment">     * the number of reference vectors.  Entry (i,j) is the cosine of the angle</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span><span class="comment">     * between population i and reference vector j.</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span><span class="comment">     */</span></div>
<div class="foldopen" id="foldopen00129" data-start="{" data-end="}">
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#a5baaad83af9cfd6838db277c4ad41a84">  129</a></span>    <span class="keyword">static</span> std::vector&lt;bag_t&gt; <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#a5baaad83af9cfd6838db277c4ad41a84" title="Associates a population to a set of reference vectors.">populationPartition</a>(</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>        RealMatrix <span class="keyword">const</span> &amp; <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>)</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>    {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>        std::vector&lt;std::set&lt;std::size_t&gt;&gt; subGroups(<a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>.size2());</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>        <span class="keywordflow">for</span>(std::size_t i = 0; i &lt; <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>.size1(); ++i)</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>        {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>            <span class="keyword">const</span> std::size_t k = std::distance(</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>                row(<a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>, i).begin(),</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>                std::max_element(row(<a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>, i).begin(),</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>                                 row(<a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>, i).end()));</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>            subGroups[k].insert(i);</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>        }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>        <span class="keywordflow">return</span> subGroups;</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>    }</div>
</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span> </div>
<div class="foldopen" id="foldopen00144" data-start="{" data-end="}">
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#aaca1139b4474117041edd70ecf33afa2">  144</a></span>    <span class="keyword">static</span> RealMatrix <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aaca1139b4474117041edd70ecf33afa2">extractPopulationFitness</a>(</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>        std::vector&lt;IndividualType&gt; <span class="keyword">const</span> &amp; population)</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>    {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        RealMatrix fitness(population.size(),</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>                           population[0].unpenalizedFitness().size());</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>        <span class="keywordflow">for</span>(std::size_t i = 0; i &lt; population.size(); ++i)</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>        {</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>            row(fitness, i) = population[i].unpenalizedFitness();</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>        }</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>        <span class="keywordflow">return</span> fitness;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>    }</div>
</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span> </div>
<div class="foldopen" id="foldopen00156" data-start="{" data-end="}">
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#ab44cdfa5f098b005d1033b97dcfa1b17">  156</a></span>    <span class="keyword">static</span> RealVector <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#ab44cdfa5f098b005d1033b97dcfa1b17">minCol</a>(RealMatrix <span class="keyword">const</span> &amp; m)</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>    {</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>        RealVector minColumns(m.size2());</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>        <span class="keywordflow">for</span>(std::size_t i = 0; i &lt; m.size2(); ++i)</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>        {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>            minColumns[i] = min(column(m, i));</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>        }</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>        <span class="keywordflow">return</span> minColumns;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>    }</div>
</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span><span class="comment"></span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span><span class="comment">    /**</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span><span class="comment">     * \brief Compute cosine of angles between all row vectors in two matrices.</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span><span class="comment">     */</span></div>
<div class="foldopen" id="foldopen00169" data-start="{" data-end="}">
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b">  169</a></span>    <span class="keyword">static</span> RealMatrix <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#aef0dbf448c9f01c70eb7defccabdd58b" title="Compute cosine of angles between all row vectors in two matrices.">cosAngles</a>(RealMatrix <span class="keyword">const</span> &amp; m1, RealMatrix <span class="keyword">const</span> &amp; m2)</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    {</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>        RealMatrix c = prod(m1, trans(m2));</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>        <span class="keywordflow">for</span>(std::size_t i = 0; i &lt; c.size1(); ++i)</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>        {</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>            row(c, i) /= norm_2(row(m1, i));</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>        }</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        <span class="keywordflow">return</span> c;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    }</div>
</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Archive&gt;</div>
<div class="foldopen" id="foldopen00180" data-start="{" data-end="}">
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#ab8091809b0e95b77de9c89fd08ecf232">  180</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="structshark_1_1_reference_vector_guided_selection.html#ab8091809b0e95b77de9c89fd08ecf232">serialize</a>(Archive &amp; archive)</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>    {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>        archive &amp; BOOST_SERIALIZATION_NVP(<a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#aa70d7ca4f48a31dbe4e838e9ebb5c581">m_alpha</a>);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>        archive &amp; BOOST_SERIALIZATION_NVP(<a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#a3be26c2c82b5592c9c666bdedbf771c2">m_maxIters</a>);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>    }</div>
</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span> </div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#aa70d7ca4f48a31dbe4e838e9ebb5c581">  186</a></span>    <span class="keywordtype">double</span> <a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#aa70d7ca4f48a31dbe4e838e9ebb5c581">m_alpha</a>;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"><a class="line" href="structshark_1_1_reference_vector_guided_selection.html#a3be26c2c82b5592c9c666bdedbf771c2">  187</a></span>    std::size_t <a class="code hl_variable" href="structshark_1_1_reference_vector_guided_selection.html#a3be26c2c82b5592c9c666bdedbf771c2">m_maxIters</a>;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>};</div>
</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>} <span class="comment">// namespace shark</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span><span class="preprocessor">#endif </span><span class="comment">// SHARK_ALGORITHMS_DIRECT_SEARCH_OPERATORS_SELECTION_REFERENCE_VECTOR_GUIDED_SELECTION_H</span></div>
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